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arlik [135]
3 years ago
14

Parallelogram ABCD ​ is a rectangle.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0
The correct answer is y = 11

because:
2y + 7 = 3y − 4
−y + 7 =−4

Subtract 7 from both sides.
−y + 7 − 7 = − 4 − 7
−y = −11

Divide both sides by -1.
y = 11
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WORTH 49 POINTS! How far away is -5 to |-5|?
diamong [38]

|-5| is equivalent to 5, since that is how far -5 is from 0.

So, the question is simplified to: How far away is -5 from 5?

We get 5-(-5)=10.


Remember, absolute value is always positive (expect for 0) and the distance between two numbers is always positive (expect for 0).


8 0
3 years ago
Read 2 more answers
The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A
Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X =65 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size  

2) Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=11-1=10

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

Now we have everything in order to replace into formula (1):

65-1.81\frac{9}{\sqrt{11}}=60.09    

65+1.81\frac{9}{\sqrt{11}}=69.91

So on this case the 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0
3 years ago
Mrs. Stoddard has 264 crayons for her art class of 22 students. How many crayons will each student get if the crayons are divide
DedPeter [7]

Answer:

12

Step-by-step explanation:

264/22

8 0
3 years ago
Plzzzzz help meee plz due today soon
katovenus [111]

Answer:

a

Step-by-step explanation:

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3 years ago
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The following dot plot depicts the spelling test scores, in percents, of Mrs. Michael's fifth grade class. According to the dot
Hoochie [10]

Answer:

9 students scored a 90 or above

Step-by-step explanation:

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3 years ago
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